What is the limit as x approaches infinity of (1.5x)/(3x^2) ?

The limit as x approaches infinity of (1.5x)/(3x^2) is 0

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limit as x approaches infinity of (1.5x)/(3x^2)

x \to \infty lim (\frac{1.5 x}{3 x ^{2}})

0

Solution steps

x \to \infty lim (\frac{1.5 x}{3 x ^{2}})

Simplify

\frac{1.5 x}{3 x ^{2}} : \frac{0.5}{x}

= x \to \infty lim (\frac{0.5}{x})

Apply Infinity Property:

x \to \infty lim (\frac{c}{x ^{a}}) = 0

= 0

x \to 3 lim (4 x - 7)

x \to 3 lim (4 x - 1)

x \to \infty lim (4 x e^{x})

x \to 0 - lim ([x])

x \to 2 lim (\frac{x - 2}{x ^{2} + 2})

What is the limit as x approaches infinity of (1.5x)/(3x^2) ?
The limit as x approaches infinity of (1.5x)/(3x^2) is 0